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Mesons in the Low‐Energy Limit of QCD h
Author(s) -
Kalinovsky Yu. L.,
Kaschluhn L.,
Pervushin V. N.
Publication year - 1990
Publication title -
fortschritte der physik/progress of physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.2190380503
Subject(s) - physics , meson , pion , particle physics , bound state , hadron , normalization (sociology) , quark , quantum chromodynamics , bethe–salpeter equation , lorentz transformation , wave function , vertex (graph theory) , quark model , nuclear physics , quantum electrodynamics , quantum mechanics , mathematics , graph , discrete mathematics , sociology , anthropology , quarkonium
Quark‐antiquark bound states are described within the Bethe‐Salpeter approach for a class of quark models with instantaneous 4‐quark interaction. Thereby decompositions of the Bethe‐Salpeter vertex and wave functions according to their Lorentz structures and the particle content are used. Normalization conditions for the bound state functions are given. As an application of the general scheme, we determine the mass spectrum of low‐lying mesons without expanding in energy. This calculation is performed for a special Nambu‐Jona‐Lasinio model which follows from the so‐called QCD for hadrons, QCD h , by a localization of the potential. Furthermore the pion and kaon decay constants are determined. We receive good agreement with the experimental data.